Wilson loops in 5d long quiver gauge theories

Abstract

Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each individual gauge node, for a sample of 5d long quiver gauge theories whose UV fixed points have holographic duals in Type IIB. The sample includes the $T_N$ theories and the results are uniformly given in terms of Bloch-Wigner functions. The holographic representation of the Wilson loops is identified. It comprises, for each supergravity solution, a two-parameter family of D3-branes which exactly reproduce the field theory results and identify points in the internal space with the faces of the associated 5-brane web. The expectation values of (anti)fundamental Wilson loops exhibit an enhanced scaling for many operators, which matches between field theory and supergravity.

43 pages, 7 figures

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• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• Topologically twisted index of $T[SU(N)]$ at large $N$
• Phases of five-dimensional supersymmetric gauge theories
• 3d defects in 5d: RG flows and defect F-maximization
• Linear Quivers at Large-$N$
• Blowup Equations for Little Strings
• Generalized quotients and holographic duals for 5d S-fold SCFTs
• Non-integrability for $\mathcal{N}=1$ SCFTs in $5d$
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Generalized Toric Polygons, T-branes, and 5d SCFTs
• Binary AdS black holes coupled to a bath in Type IIB
• A Penrose limit for type IIB $Ad{S}_6$ solutions
• Line and surface defects in 5D N=2 SCFT from matter-coupled F(4) gauged supergravity
• Twisted compactifications and conformal defects from ISO(3)xU(1) F(4) gauged supergravity
• Solving $\mathcal{N}=4$ SYM BCFT matrix models at large $N$
• Non-supersymmetric AdS${}_6$ and the swampland
• One-point functions for doubly-holographic BCFTs and backreacting defects
• Exact solutions to complex Type IIB supergravity for complex superalgebra $F(4)$ and its real forms
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview
• Holographic duals of $\mathcal{N}=1$ quivers in 5d and their nonrelativistic limits